the truth is you can make direct comparison between the two. even for 5700 series different board partner will have different solution to tackle down the heat and noise problem. the same goes for GTX560 Ti.
there are tons of GTX560 Ti out there with custom cooler and pcb from various nvidia board partner. look around for reviews and then pick the one that you think able to satisfied your need the most. if you were not in a hurry to replace your current card i suggest for you to wait a bit until GTX660 Ti comes out. it might be more expensive compared to 560 Ti but you it might be able to pick your interest if you were willing to spend a bit more cash. plus we might also see price cut from amd so you might want to wait a little bit longer before making your purchase